The actual studies [1],[2] that tried to measure this came to very different rates of height loss though: 3.6 cm and 6 cm from 40 to 80 in men. This does not look like a serious fact.

1. https://pubmed.ncbi.nlm.nih.gov/10547143/

2. https://www.mdpi.com/2072-6643/15/21/4694 (referencing the FHS there, the numbers are hard to find on the study's website).